Question

If you start with 2 and count by 3s until you reach 449, you will get the sequence: 2, 5, 8, 11, …, 449. If 449 is the Nth number, what is the value of N?

Answer 1

Answer:

150

Step-by-step explanation:

The terms in the sequence form an arithmetic sequence with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 , thus

2 + 3(n - 1) = 449

2 + 3n - 3 = 449

3n - 1 = 449 ( add 1 to both sides )

3n = 450 ( divide both sides by 3 )

n = 150